Answer True or False

question 607

True/False

Answer true or false. If f '(x) > 0 for all x on the interval I, then f(x) is concave up on the interval I.

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Definitions:

Universal Generalization

A form of deductive reasoning that concludes a general statement is true for all instances based on the observation of particular instances.

Quantifier Negation

The process of negating the quantifiers in a statement, such as changing "all" to "not all" or "some" to "none".

Existential Generalization

A logical operation that infers the existence of at least one member of a domain that satisfies a certain property from a specific case.

Existential Instantiation

A logical principle that derives the existence of a particular instance of a predicate within a domain of discourse from a general statement.